GCD of 748, 747, 238, 289 Calculator

Given Input numbers are 748, 747, 238, 289

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (748, 747, 238, 289) = 1.

Given numbers are 748, 747, 238, 289

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 747 are 3 x 3 x 83

Prime factors of 238 are 2 x 7 x 17

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 747, 238, 289

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 747) = 558756

GCD(748, 747) = ( 748 x 747 ) / 558756

= 748 / 747

= 748

Step2:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 748, 747, 238, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 492, 279, 382
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• GCD of 513, 487, 695, 703
• GCD of 809, 236, 862, 687
• GCD of 546, 656, 486, 198

Given numbers are 748, 747, 238, 289
The greatest common divisor of numbers 748, 747, 238, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 747, 238, 289 is 1.

1. What is the GCD of 748, 747, 238, 289?

GCD of given numbers 748, 747, 238, 289 is 1

2. How to calculate the greatest common divisor of 748, 747, 238, 289?

We can find the highest common divisor of 748, 747, 238, 289 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 747, 238, 289 i.e 1.

3. How can I use the GCD of 748, 747, 238, 289Calculator?

Out the numbers 748, 747, 238, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.